Browsing by Subject "Chebyshev polynomials"
Now showing items 1-6 of 6
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Article
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
(1993)Four and six-element conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on ...
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Article
Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials
(2007)In this paper, we propose efficient algorithms for approximating particular solutions of second and fourth order elliptic equations. The approximation of the particular solution by a truncated series of Chebyshev polynomials ...
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Article
A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
(1988)A formula expressing the Chebyshev coefficients of the general order derivative of an infinitely differentiable function in terms of its Chebyshev coefficients is suggested. © 1988.
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Article
A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function
(1988)An expression for the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function in terms of its Chebyshev coefficients is suggested. © 1988.
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Article
Spectral Chebyshev collocation for the poisson and biharmonic equations
(2010)This paper is concerned with the spectral Chebyshev collocation solution of the Dirichlet problems for the Poisson and biharmonic equations in a square. The collocation schemes are solved at a cost of 2N3 + O(N2 logN) ...
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Article
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk
(2008)The paper is concerned with the spectral collocation solution of the Helmholtz equation in a disk in the polar coordinates r and θ. We use spectral Chebyshev collocation in r, spectral Fourier collocation in θ, and a simple ...